Home / 1,226.02-1,838.63-404.14

Finding the Fourth Proportional to 1,226.02, 1,838.63 and 404.14

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Solution

The fourth proportional to 1,226.02, 1,838.63 and 404.14 is: 606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.02 : 1,838.63 = 404.14 : x
  2. Step 2: Convert to fraction form
    1,226.02/1,838.63 = 404.14/x
  3. Step 3: Cross multiply
    1,226.02x = 1,838.63 × 404.14
  4. Step 4: Simplify right side
    1,226.02x = 743,055.75
  5. Step 5: Solve for x
    x = 743,055.75/1,226.02
  6. Step 6: Final answer
    x = 606.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.